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Finding the Third Proportional to 85,416 and 124,832

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Solution

The third proportional to 85,416 and 124,832 is: 182,436.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,416 : 124,832 = 124,832 : x
  2. Step 2: Convert to fraction form
    85,416/124,832 = 124,832/x
  3. Step 3: Cross multiply
    85,416x = 124,832 × 124,832
  4. Step 4: Simplify right side
    85,416x = 15,583,028,224
  5. Step 5: Solve for x
    x = 15,583,028,224/85,416
  6. Step 6: Final answer
    x = 182,436.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.